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LCM of 612, 910, 937, 224, 133

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 612, 910, 937, 224, 133 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 612, 910, 937, 224, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,910,937,224,133

Given numbers are 612,910,937,224,133

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 612,910,937,224,133 is 39659387040.

Find LCM of 612,910,937,224,133 with Prime Factorization


2 612, 910, 937, 224, 133
2 306, 455, 937, 112, 133
7 153, 455, 937, 56, 133
153, 65, 937, 8, 19

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 153 x 65 x 937 x 8 x 19 = 39659387040

Therefore, the lowest common multiple of 612,910,937,224,133 is 39659387040.

LCM Formula to Find Lowest Common Multiple of 612,910,937,224,133

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

612 x 910 x 937 x 224 x 133 = 15546479719680

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

937 : 1, 937

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,910,937,224,133, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

910:2x 5x 7x 13

937:937

224:2x 2x 2x 2x 2x 7

133:7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 7x 7 = 392

Therefore, the value for common factors is 392.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15546479719680/(1x392)

LCM = 15546479719680/392

LCM = 39659387040

Thus, we can understand that the LCM of 612,910,937,224,133 is 39659387040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 910, 937, 224, 133

1. What is the LCM of 612, 910, 937, 224, 133?

Answer: LCM of 612, 910, 937, 224, 133 is 39659387040.

2. How to calculate the LCM of 612, 910, 937, 224, 133?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 612, 910, 937, 224, 133.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.